RANDOM-ADDING DETERMINATION OF PERCOLATION THRESHOLDS IN INTERACTING SYSTEMS

A generalization of the random-adding procedure for the determination of percolation parameters in interacting systems is demonstrated. This method which simply utilizes the Boltzmann distribution function is s hown to reproduce quite accurately results which were obtained previou sly by the much less efficient and much less direct method of the Metr opolis algorithm. The success of the present method is attributed to t he fact that, for typical objects considered in such systems, the effe ct of the square-well attractive interaction compensates for the effec t of the (hard-core) repulsive interaction on the spatial distribution of the objects around a given object.